# chemistry

a mixture of methane and ethane is stored in a container at 294 mmHg. The gases are burned in air to form co2 and h2o. if the pressure of co2 is 357 mmhg measured at the same temperature and volume as the original mixture, calculate the mole fraction of the gases.

1. 👍 0
2. 👎 0
3. 👁 785
1. Two equations and two unknowns; solve simultaneously.
Write and balance the chemical equations.
CH4 + 2O2 ==> CO2 + H2O
C2H6 + 7O2 ==> 2CO2 + 6H2O
===========================
If we let x = pressure CH4 and y = pressure C2H6, then
x + y = 294 mm is the first math equation.

Looking at the chemical equations, if x is pressure CH4, then x = pressure of CO2 produced from the CH4 and 2y is the pressure produced by the C2H6; therefore,
x + 2y = 357 mm is th second math equation. Writing them together and solving, we have
x + y = 294
x + 2y = 357
Solve simultaneously, and I obtained
x = 231 and y = 63. You should confirm all of that.
Then since PCH4 = XCH4Ptotal
Rearrange to obtain XCH4 = (PCH4/Ptotal)
and XC2H6 = PC2H6/Ptotal.
I've estimated
XCH4 = 0.786
XC2H6 = 0.214

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Chemistry

The burning of methane in oxygen is a highly exothermic reaction. Yet a mixture of methane and oxygen gas can be kept indefinitely without any apparent change. Can someone give me an explanation behind this?

2. ### Chemistry

A mixture of nitrogen gas and hydrogen gas reacts in a closed container to form ammonia gas. The reaction ceases before either reactant is completely consumed. At this stage the container has 3.0 mol each of all three gases;

3. ### chemistry

Three gases (8.00 g of methane, CH4, 18.0 g of ethane, C2H6, and an unknown amount of propane, C3H8) were added to the same 10.0-L container. At 23.0 ∘C, the total pressure in the container is 5.20 atm . Calculate the partial

4. ### General Chemistry

A container holds 3 gases: oxygen, carbon dioxide, and helium. The partial pressure of the three gases are 2.00atm, 3.00atm, and 4.00atm, respectively. What is the total pressure inside the container?

1. ### chemistry

A 100 L flask contains a mixture of methane and argon gasses at 25 degree C . The mass of argon present is 228 g and the mole fraction of methane in the mixture is 0.650 . calculate the total kinetic energy of gaseous mixture

2. ### CHEM

a mixture of 10cm3 of methane and 10cm3 of enthane was sparked with an excess of oxygen. after coolin to room temp, the residual gas was passed through aq KOH. what volume of gas was absorbed by the alkali ? Write the equations

3. ### Thermodynamics

What is the ideal work for the separation of an equimolar mixture of methane and ethane at 175 C and 3 bar into product streams of pure gases at 35 C and 1 bar if Tsigma = 300 K?

4. ### ap chemistry

What pressure would a mixture of 3.2 grams of O2, 6.4 grams CH4, and 6.4 grams of SO2 exert if the gases were placed in a 5.1 liter container at 127C? Answer in units of atm

1. ### chemistry

A gas mixture with a total pressure of 745mmHg contains each of the following gases at the indicated partial pressures: CO2, 257 mmHg; Ar, 123mmHg; and O2, 160 mmHg. The mixture also contains helium gas. What is the partial

2. ### science

a mixture of gases contains 64g of methane, 64g of oxygen and 64g of sulphur dioxide. The pressure of the mixture is 210 kpa. what is the partial pressure (in kpa) of the methane expected to be?

3. ### Chemistry

A mixture of methane (CH4) and ethane (C2H6) of mass 13.43g is completely burned in oxygen. If the total mass of CO2 and H2O produced is 64.84 g, calculate the fraction of CH4 in the mixture. CH4 + C2H6 arrow CO2 + H2O 13.43g

4. ### Chemistry

A 5.00 g mixture of methane (CH4) and ethane (C2H6) is combusted in oxygen gas to produce carbon dioxide and water. If 14.09 g of CO2 is produced, how many grams of methane was in the original 5.00 g mixture ?